2020-01-26T09:22:13Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:53487
2019-02-19T11:54:53Z
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Oblique cross-waves in horizontally vibrated containers
Pérez Gracia, José María
Portter, Jeff
Varas Merida, Fernando
Vega, J.
Mechanics
The excitation of subharmonic waves on the free surface of a horizontally vibrated, rectangular container of liquid is considered and the properties of threshold patterns are obtained and discussed. These waves are generally quasiperiodic and oblique (not aligned with the container walls). The parametric forcing mechanism generated by the harmonic oscillatory bulk flow is assumed to dominate over that associated with harmonic surface waves and a linear theory recently developed by the authors [Perez-Gracia et al 2014 J. Fluid Mech. 739 196?228] is used to compute both the threshold forcing amplitude and the pattern orientation. Two distinct regimes are considered: (1) large containers where the subharmonic waves generated at each endwall do not interact appreciably and (2) smaller containers where interaction occurs. The nature of the critical eigenfunction is examined in each case, and a contrast drawn between pure 2:1 resonance and the general case of quasiperiodic instability.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2014-04
info:eu-repo/semantics/article
Article
Fluid Dynamics Research, ISSN 0169-5983, 2014-04, Vol. 46, No. 4
PeerReviewed
application/pdf
eng
http://stacks.iop.org/1873-7005/46/i=4/a=041410
TRA2010–18054
MTM–2010–21135-C02–02
AYA2010–19081
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1088/0169-5983/46/4/041410
http://oa.upm.es/53487/